Dresden 2020 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 65: Partial Synchronization Patterns in Neuronal Networks II (Focus Session joint with DY / SOE / BP) (joint session SOE/DY)
DY 65.4: Talk
Friday, March 20, 2020, 11:15–11:30, GÖR 226
Multilayer structures in adaptive oscillator networks — •Rico Berner1,2, Jakub Sawicki1, and Eckehard Schöll1 — 1Institute of Theoretical Physics, Technische Universität Berlin, Germany — 2Institute of Mathematics, Technische Universität Berlin, Germany
Dynamical systems on networks with adaptive couplings appear naturally in real-world systems such as power grid networks, social networks as well as neuronal networks. We investigate collective behaviour in a paradigmatic network of adaptively coupled phase oscillators. The coupling topology of the network changes slowly depending on the dynamics of the oscillators on an all-to-all coupled background. We show that such a system gives rise to numerous complex dynamics, including relative equilibria and hierarchical multicluster states. Parameter regimes of high multistability are found. An analytic treatment for equilibria as well as multicluster states reveals that existence and stability are significantly influenced by the slow-fast time separation. Interactions between different clusters are further studied numerically and analytically in the framework of multiplex networks. Our results allow for the interpretation of equilibria as functional units in multicluster structures. The results contribute to the understanding of mechanisms for self-organized pattern formation in adaptive networks, such as the emergence of multilayer structure in neural systems and their interaction.